Question

$\frac{0.86\times 0.86\times 0.86+0.14\times 0.14\times 0.14}{0.86\times 0.86-0.86-0.14+0.14\times 0.14}$ is equal to

• A. $1$
• B. $0$
• C. $2$
• D. $10$

Answer 1

Answer: (A)

$1$

Given expression $=\frac{{\left(0.86\right)}^3+{\left(0.14\right)}^3}{{\left(0.86\right)}^2-0.86\times 0.14+{\left(0.14\right)}^2}$

$=\frac{(0.86+0.14)[{\left(0.86\right)}^2-0.86\times 0.14+{\left(0.14\right)}^2]}{{\left(0.86\right)}^2-0.86\times 0.14+{\left(0.14\right)}^2}$ ...$[\because (a^3+b^3)=(a+b\left)\right(a^2-ab+b^2]$

$=0.86+0.14=1$